Questions: There are 1760 yards in a mile. Therefore, what does 1 cubic mile represent? Choose the correct answer below. A. 1760^3 yards ^3 B. 1760 yards ^3 C. 1760 square yards D. 1760^3 yards

There are 1760 yards in a mile. Therefore, what does 1 cubic mile represent? Choose the correct answer below. A. 1760^3 yards ^3 B. 1760 yards ^3 C. 1760 square yards D. 1760^3 yards
Transcript text: There are 1760 yards in a mile. Therefore, what does 1 cubic mile represent? Choose the correct answer below. A. $1760^{3}$ yards $^{3}$ B. 1760 yards $^{3}$ C. 1760 square yards D. $1760^{3}$ yards
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Solution

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Solution Steps

To find what 1 cubic mile represents in terms of cubic yards, we need to convert miles to yards and then cube the result since we are dealing with volume.

Step 1: Convert Miles to Yards

Given that there are 1760 yards in a mile, we start by noting this conversion factor: \[ 1 \text{ mile} = 1760 \text{ yards} \]

Step 2: Calculate Cubic Yards in a Cubic Mile

To find the volume in cubic yards, we cube the number of yards in a mile: \[ (1760 \text{ yards})^3 = 1760^3 \text{ cubic yards} \]

Step 3: Compute the Result

Performing the calculation: \[ 1760^3 = 5451776000 \text{ cubic yards} \]

Final Answer

The correct answer is: \[ \boxed{1760^3 \text{ cubic yards}} \] Thus, the answer is A.

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